A085852 - OEIS

A085852

Triangle T(n, k) read by rows; given by [0, 1, 0, 2, 0, 3, 0, 4, ...] DELTA [1, 0, 2, 0, 2, 0, 3, 0, 2, 0, 4, 0, 2, 0, ...] (A000005 interspersed with 0's) where DELTA is Deléham's operator defined in A084938.

1, 0, 1, 0, 1, 1, 0, 1, 4, 1, 0, 1, 11, 11, 1, 0, 1, 26, 62, 26, 1, 0, 1, 57, 266, 258, 57, 1, 0, 1, 120, 991, 1792, 903, 120, 1, 0, 1, 247, 3405, 10363, 9483, 2829, 247, 1, 0, 1, 502, 11140, 53818, 80342, 42906, 8212, 502, 1, 0, 1, 1013, 35348, 260996

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OFFSET

0,9

LINKS

Alois P. Heinz, Rows n = 0..140, flattened

EXAMPLE

Triangle begins:

0, 1,

0, 1, 1,

0, 1, 4, 1,

0, 1, 11, 11, 1,

0, 1, 26, 62, 26, 1,

0, 1, 57, 266, 258, 57, 1,

0, 1, 120, 991, 1792, 903, 120, 1,

0, 1, 247, 3405, 10363, 9483, 2829, 247, 1,

0, 1, 502, 11140, 53818, 80342, 42906, 8212, 502, 1,

...

MATHEMATICA

m = 13;

(* DELTA is defined in A084938 *)

DELTA[LinearRecurrence[{0, 2, 0, -1}, {0, 1, 0, 2}, m], Table[ {DivisorSigma[0, n], 0}, {n, 1, m}] // Flatten, m] // Flatten (* Jean-François Alcover, Feb 19 2020 *)

CROSSREFS

Cf. A000295 (3rd column), A000460 (4th column), A000498 (5th column).

Sequence in context: A359363 A318996 A294490 * A123125 A173018 A369971

Adjacent sequences: A085849 A085850 A085851 * A085853 A085854 A085855

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Aug 16 2003

EXTENSIONS

Incorrect comment removed by Philippe Deléham, Sep 25 2015

STATUS

approved